1059958249 has 9 divisors (see below), whose sum is σ = 1233277821. Its totient is φ = 908340300.

The previous prime is 1059958181. The next prime is 1059958253. The reversal of 1059958249 is 9428599501.

The square root of 1059958249 is 32557.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1059958249 - 2⁷ = 1059958121 is a prime.

It is a super-2 number, since 2×1059958249² = 2247022979246292002, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1059958196 and 1059958205.

It is not an unprimeable number, because it can be changed into a prime (1059958259) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 225574 + ... + 230224.

It is an arithmetic number, because the mean of its divisors is an integer number (137030869).

Almost surely, 2^1059958249 is an apocalyptic number.

1059958249 is the 32557-th square number.

1059958249 is the 16279-th centered octagonal number.

It is an amenable number.

1059958249 is a deficient number, since it is larger than the sum of its proper divisors (173319572).

1059958249 is an frugal number, since it uses more digits than its factorization.

1059958249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9316 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 52.

The cubic root of 1059958249 is about 1019.5994354996.

It can be divided in two parts, 105995 and 8249, that added together give a square (114244 = 338²).

The spelling of 1059958249 in words is "one billion, fifty-nine million, nine hundred fifty-eight thousand, two hundred forty-nine".